Decoherence, entanglement negativity, and circuit complexity for an open quantum system

A Bhattacharyya, T Hanif, SS Haque, A Paul - Physical Review D, 2023 - APS
In this paper, we compare the saturation timescales for complexity, linear entropy, and
entanglement negativity for two open quantum systems. Our first model is a coupled …

Quantum quenches in 1+ 1 dimensional conformal field theories

P Calabrese, J Cardy - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

Symmetry-resolved dynamical purification in synthetic quantum matter

V Vitale, A Elben, R Kueng, A Neven, J Carrasco… - SciPost Physics, 2022 - scipost.org
When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …

Entanglement negativity and minimal entanglement wedge cross sections in holographic theories

J Kudler-Flam, S Ryu - Physical Review D, 2019 - APS
We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum
states, in quantum error-correcting codes and find it to equal the minimal cross sectional …

Symmetry decomposition of negativity of massless free fermions

S Murciano, R Bonsignori, P Calabrese - SciPost Physics, 2021 - scipost.org
We consider the problem of symmetry decomposition of the entanglement negativity in free
fermionic systems. Rather than performing the standard partial transpose, we use the partial …

Partial time-reversal transformation and entanglement negativity in fermionic systems

H Shapourian, K Shiozaki, S Ryu - Physical Review B, 2017 - APS
The partial transpose of density matrices in many-body quantum systems, in which one
takes the transpose only for a subsystem of the full Hilbert space, has been recognized as a …

Entanglement scrambling in 2d conformal field theory

CT Asplund, A Bernamonti, F Galli… - Journal of High Energy …, 2015 - Springer
A bstract We investigate how entanglement spreads in time-dependent states of a 1+ 1
dimensional conformal field theory (CFT). The results depend qualitatively on the value of …

Entanglement negativity and mutual information after a quantum quench: exact link from space-time duality

B Bertini, K Klobas, TC Lu - Physical Review Letters, 2022 - APS
We study the growth of entanglement between two adjacent regions in a tripartite, one-
dimensional many-body system after a quantum quench. Combining a replica trick with a …

Entanglement negativity spectrum of random mixed states: A diagrammatic approach

H Shapourian, S Liu, J Kudler-Flam, A Vishwanath - PRX Quantum, 2021 - APS
The entanglement properties of random pure states are relevant to a variety of problems
ranging from chaotic quantum dynamics to black-hole physics. The averaged bipartite …

Entanglement wedge cross section from CFT: dynamics of local operator quench

Y Kusuki, K Tamaoka - Journal of High Energy Physics, 2020 - Springer
A bstract We derive dynamics of the entanglement wedge cross section from the reflected
entropy for local operator quench states in the holographic CFT. By comparing between the …